Question: Please do in matlab and plot, thank you You are given the following system of non-linear equations: 2x3y=03y3x=0 Find all 3 pairs of roots for
Please do in matlab and plot, thank you
You are given the following system of non-linear equations: 2x3y=03y3x=0 Find all 3 pairs of roots for the equations using an analytical approach, a graphical approach, or MATLAB built-in functions. (2 marks) Follow the steps below to find the pairs of roots using the Newton-Raphson method for solving a system of two non-linear equations (see lecture slides) until the percent estimated relative error falls below 0.01%. (4 marks) Step 1: Define different starting points (x0, y0) such that they range from 1 to +1 with an interval of 0.01. Step 2: For each of these starting points, determine which root it converges to by measuring the L2-norm between the estimated root and roots in part a). The tolerance for this measurement should be set carefully as this choice can change your plot. Try different tolerances. Step 3: Specify a colour for all starting points that converge to the same root. Step 4: Plot all starting points with their respective colours on a single figure. Plot all 3 pairs of roots from part a) in the figure as well
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
